ECON 3M03 Lecture Notes - Lecture 9: Strictly Positive Measure, Aero Fighters, Symmetric Game
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Outline: video coordination game with more than 3 players, symmetry in games with many players, solving symmetrical games with many strategies, example, stag hunt with many players, the tragedy of the commons. Following the 3-player example we get that for n-players: with prob all n firms adopt beta. None adopt v and all earn 1: with prob. All other n-1 adopt v and all earn 0: with prob. 2n two firms adopt b the other n-2 adopt v and all earn 0: with prob. )p1(p m mn m firms adopt b the other n-m adopt v and all earn 0. 0n none adopt b and all n adopt v and all earn 1. What is the expected value of firm i from adopting v (pure strategy) 6 of 30: prob (all firms adopt v) = Video system coordination with more than 3 players. Fi is indifferent between adopting b and adopting v when.